1206.5062 (Tomoaki Nogawa et al.)

Generalized scaling theory for critical phenomena including essential
singularity and infinite dimensionality    [PDF]

Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto

We propose a generic scaling theory for critical phenomena that includes power-law and essential singularities in finite and infinite dimensional systems. In addition, we clarify its validity by analyzing the Potts model in a simple hierarchical network, where a saddle-node bifurcation of the renormalization-group fixed point governs the essential singularity.

View original: http://arxiv.org/abs/1206.5062